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Jose Mourinho’s side took a first half lead thanks to a penalty converted by Wayne Rooney.
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However, the Swans had other ideas, as they equalized from a Gyifi Surgusson free-kick with just ten minutes to go.
Jordan – who lasted the entire duration of the game – believes Swansea were the better side and were unfortunate not to have beaten the Premier League giants.
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“I felt we deserved to win," Jordan told the club's official website.
“We played better than them, but that is an encouraging sign. For our confidence that performance will really help.”
The former Aston Villa attacker added that the draw could just be the result that Swansea needed to spark a late tilt towards beating the drop.
“We have to take that [confidence] into the next three games. We have to stay positive.
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“They are three massive games for us, but we are fighting as much as we can.”
Paul Clement’s side currently lie 18th on the league log, with just three matches to the end of the season.